diff --git a/parts/sec2_singleArrayDoaDoppler.tex b/parts/sec2_singleArrayDoaDoppler.tex
index 6488213..0c590ee 100644
--- a/parts/sec2_singleArrayDoaDoppler.tex
+++ b/parts/sec2_singleArrayDoaDoppler.tex
@@ -22,9 +22,9 @@
   \mathbf q_k(\nu_k)
   \triangleq
   \begin{bmatrix}
-    s_k(0)e^{j\nu_k\cdot0}, &
-    s_k(1)e^{j\nu_k\cdot1}, &
-    \cdots, &
+    s_k(0)e^{j\nu_k\cdot0},
+    s_k(1)e^{j\nu_k\cdot1},
+    \cdots,
     s_k(T-1)e^{j\nu_k(T-1)}
   \end{bmatrix}^\Tran
   \in\mathbb C^{T\times1}.
diff --git a/parts/sec3_multiSatSingleUser.tex b/parts/sec3_multiSatSingleUser.tex
index f11cd10..4a387c6 100644
--- a/parts/sec3_multiSatSingleUser.tex
+++ b/parts/sec3_multiSatSingleUser.tex
@@ -177,9 +177,9 @@
   \mathbf q_\ell(\boldsymbol\xi,\nu_{\mathrm{ref}})
   \triangleq
   \begin{bmatrix}
-    s(0)e^{j\nu_\ell\cdot 0}, &
-    s(1)e^{j\nu_\ell\cdot 1}, &
-    \cdots, &
+    s(0)e^{j\nu_\ell\cdot 0},
+    s(1)e^{j\nu_\ell\cdot 1},
+    \cdots,
     s(T-1)e^{j\nu_\ell(T-1)}
   \end{bmatrix}^\Tran
   \in\mathbb C^{T\times 1},
diff --git a/parts/sec6_multiFrameCp.tex b/parts/sec6_multiFrameCp.tex
index cbe25f2..8149682 100644
--- a/parts/sec6_multiFrameCp.tex
+++ b/parts/sec6_multiFrameCp.tex
@@ -71,8 +71,8 @@ $\chi_\ell$ 为第 $\ell$ 颗卫星在参考时刻的\emph{公共相位}，由
   \mathbf q^{\mathrm{cp}}_{\ell,p}
   \triangleq
   \begin{bmatrix}
-    s_p(0)e^{j\phi^{\mathrm{cp}}_{\ell,p}(0)}, &
-    \cdots, &
+    s_p(0)e^{j\phi^{\mathrm{cp}}_{\ell,p}(0)},
+    \cdots,
     s_p(T-1)e^{j\phi^{\mathrm{cp}}_{\ell,p}(T-1)}
   \end{bmatrix}^\Tran,
   \qquad